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Finding the Fourth Proportional to 75,314, 112,862 and 41,586.64

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Solution

The fourth proportional to 75,314, 112,862 and 41,586.64 is: 62,319.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,314 : 112,862 = 41,586.64 : x
  2. Step 2: Convert to fraction form
    75,314/112,862 = 41,586.64/x
  3. Step 3: Cross multiply
    75,314x = 112,862 × 41,586.64
  4. Step 4: Simplify right side
    75,314x = 4,693,551,363.68
  5. Step 5: Solve for x
    x = 4,693,551,363.68/75,314
  6. Step 6: Final answer
    x = 62,319.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.